Convert 100 lbs. to kg.

Ben earns an annual income of $12,800 a year. The income tax he has to pay is 15%. What is the amount of income tax in dollars a

kirill115 [55]

Answer:

$

1

,

920

Explanation:

Find

15

%

×

12800

15

100

×

12800

1

=

$

1

,

920

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Prove that if one solution for a quadratic equation of theform x2 + bx + c = 0 is rational (where b and c are rational),then the

Elenna [48]

Answer:

The other solution of the given equation x² + bx + c = 0 is also rational number.

Step-by-step explanation:

Here, given: ax² + bx + c = 0 is a quadratic equation

Also, one solution (r) of equation is RATIONAL.

To show: The other solution (s) is also RATIONAL

Now, here: as x² + bx + c = 0

Since r and s are the two given solutions, the given equation can be factorized as:

x² + bx + c = (x -r) (x - s)

Simplifying LHS, we get:

(x -r) (x - s) = x x - r (x) - s (x) + (r)(s)

= x² + x(-r - s) + rs

or, x² + bx + c = x² + x(-r - s) + rs

Comparing the related terms, we get:

b = (-r - s)

⇒ b + s = - r

or, s = -r - b

Now, given : r = Rational and the negative of a rational is also rational.

⇒ -r is also rational

Also, difference of two rational number is also rational.

⇒ -r - b is also rational

⇒ s is a RATIONAL NUMBER

Hence, the other solution of the given equation x² + bx + c = 0 is also rational number.

7 0

3 years ago

Determine the value of x for the following isosceles triangle.

andrew11 [14]

Given :

▪︎This triangle is an isosceles triangle.

▪︎Measure of one of its legs = 6 inches

▪︎Measure of its equivalent leg $= \tt \frac{x}{9}$ inches

▪︎Measure of its base $= \tt \frac{5}{2}$ inches

Which means :

$=\tt 6 = \frac{x}{9}$

$=\tt \frac{6}{1} = \frac{x}{9}$

$=\tt 6 \times 9 = x \times 1$

$\hookrightarrow\color{plum}\tt 54 = x$

Let us check whether or not we have found out the correct value of x by placing 54 in the place of x :

$=\tt 6 = \frac{54}{9}$

$= \tt6 = 6$

Since the Left Hand Side of the equation is equivalent to the Right Hand Side of the equation, we can conclude that we have found out the correct value of x.

▪︎Therefore, the value of <u>x = 54</u>

8 0

2 years ago

A line contains the point (2 , 1) and has a slope of -2. What is the equation of the line?

gogolik [260]

Answer: y=-2x+5

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Pls help me this is so hard

Mama L [17]

Answer:

She is not breaking even. The discounted price is .84t, which is less than t.

Step-by-step explanation:

Retail price= 1.4

1.4×.4= .56

40% of 1.4 is .56

Subtract 40% of 1.4 from the retail price because she is marking down.

(1.4)-(.56)=.84

So the discounted price is .84t

This problem is difficult because we don't know if she sold any tea by the retail price and if she did how much did she sell.

5 0

3 years ago